This paper presents a method of extending computation beyond the limit initial normal interval in Walsh series analysis dynamical systems. The solution may be extended over contiguous normalized intervals time to any length. procedure avoids operational matrices prohibitively large size and reduces computational effort minimum while retaining accuracy. As by-product method, at segment junctions is also available addition one piecewise constant form. formula provides information regarding...

Using block-pulse functions, a new method of identifying single-input single-output dynamic system is presented. The input-output record expressed in series which transforms the differential equation into computationally convenient algebraic form. Compared with Walsh function approach, proposed simpler to compute, more suitable for computer programming and provides same accuracy.

Abstract Bio‐based resources as reinforcing agents for elastomers is an important area of research. In this study, different types lignin were employed fillers synthetic elastomers. Polychloroprene (CR), a polar rubber, and solution styrene butadiene rubber (SSBR), non‐polar used matrix materials. Results showed that filled with Kraft exhibited better mechanical performance than those lignosulfonate. Without chemical modification, effectively reinforced polychloroprene increasing its tensile...

The paper presents a parameter-embedding approach to the optimal control of linear time-delay systems, and develops simple computational algorithm via Walsh functions. employs concept operational matrices for delay advance. These provide us with means numerically integrating differential equations delayed advanced arguments; major task in process computing controls systems. An attractive feature present method is its ultimate simplicity resulting piecewise constant are convenient practical...

This correspondence presents a new operational matrix for "Stretch" via Walsh functions and discusses some interesting properties of this its role in the solution certain functional differential equations. The solutions equations are obtained series functions. results piecewise constant with minimal mean-square error. single term approximation combined technique extension [8] reduces computational effort to minimum.

The paper presents a parameter-embedding approach to the optimal control of linear time-delay systems, and develops simple computational algorithm via Walsh functions. employs concept operational matrices for delay advance. These provide us with means numerically integrating differential equations delayed advanced arguments; major task in process computing controls systems. An attractive feature present method is its ultimate simplicity resulting piecewise constant are convenient practical...

This paper considers a simple method of analysis to find an optimal control linear time-invariant and time-varying systems by the single term Walsh series approach (STWS). The value STWS in system is established. time varying gains are approximated piecewise constant which easily determined for with quadratic performance criteria. cumbersome Kronecker product eliminated, inversion large matrices avoided. Several examples presented demonstrate power simplicity method.

Abstract This paper presents a Walsh function approach to the minimum energy control of linear systems with time delay satisfying given conditions on terminal state. operational matrices for integration, and advance 1 are employed in solving related state costate equations containing terms advanced delayed arguments. The technique extension solution single term series 2 is adapted case differential terms, leading an enormous reduction computational effort. results may be computed two forms,...

The paper first reviews the status of Walsh-functions (WF) approach to problem parameter identification in continuous dynamical systems. WF method analysis and estimation relies on use so-called operational matrix for integration. For higher-order systems, existing has so far been applied after being raised required power. This procedure results an accumulation error at each stage To improve this situation, introduces one-shot matrices repeated integration (OSOMRI) via Walsh functions....

This paper presents a new method of analysis certain non-linear systems with and without time delay via single term Walsh series approach. The piecewise constant solutions discrete are obtained minimal mean-square error. is easily amenable to digital computer. Examples presented illustrate the simplicity method. 'This better than previous block pulse function techniques

The paper presents a new method for the analysis of linear singular systems via single-term Walsh series (STWS) approach. Block pulse and discrete solutions are obtained any length time. is very simple direct can easily be implemented on digital computer.

This paper presents a class <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\Phi_{2}$</tex-math></inline-formula> inverters for high-power applications using multiple enhancement-mode gallium nitride (eGaN) switching devices operating at 13.56 MHz. The eGaN are beneficial in high-frequency, such as plasma processing, thanks to the low and conduction losses. In addition, small size of increases power density...

The single step method of block pulse functions (b.p.f.) is successfully applied to the analysis stiff systems. efficiency new has been demonstrated by considering a few standard examples. present proved be better than Runge-Kutta method. It found that approximate solution becomes extremely close exact when length decreased

A new method of analysis for linear time-varying singular differential equations the form K(t)ẋ(t) = A(t)x(t) + B(t)u(t) has been proposed. The is verified by an illustrative example

A new method of analysis for linear time-varying singular differential equations the form K(t)ẋ(t) = A(t)x(t) + B(t)u(t) has been proposed. The is verified by an illustrative example

On montre par un exemple comment la methode developpee Palanisamy et Rao pour les systemes de commande optimale a retard peut aussi s'appliquer aux lineaires parametres variables

Abstract This paper presents new methods for the analysis of linear time-varying and nonlinear networks via single-term Walsh series (STWS). Both block pulse discrete solutions are obtained any length time. The method is very simple direct can be easily implemented with a digital computer

Abstract This paper introduces a new set of operational matrices for delay and advance via Walsh functions. These matrices, along with the well known matrix integration, reduce calculus large class (or advance) systems to an algebra approximate in sense least squares. Some useful properties applications proposed are discussed. In particular, method integrating differential equations is extensively illustrated. With single term series (Prasada Rao et at. 1980) computation becomes very simple....

Abstract The analysis of linear optimal control systems incorporating observers via single-term Walsh series is considered and very simple algorithms convenient for computations are presented. Compared with the previous methods using functions (WF), block-pulse (BPF), shifted Chebyshev series, results simpler in form. An example presented to illustrate use method.

This paper introduces a new method of solving variational problems directly via block pulse functions (BPFs). The is simple and powerful. Illustrative examples are presented. BPFs yields both block-pulse values discrete the solution.

The paper presents a new method of analysis smoothing circuits which are used in digital communication systems via single-term Walsh series (STWS) approach. input may be conveniently and easily expanded STWS. solution is obtained both block pulse form discrete form. simple direct presented can implemented with computer. Illustrative examples presented.

A new method of analysing vibrating mechanical systems by the single-term Walsh series approach (STWS) is presented. Exciting forces that could not be expressed simple analytic functions have been easily represented block-pulse series. Examples are presented to demonstrate efficiency and simplicity STWS method. The results obtained compare well with those well-known standard methods systems.

This paper clearly brings out the relationship between block pulse functions (b.p.f.) operational matrix for integration and single step method of b.p.f. It is also shown that may be obtained by using delay matrices.

This paper presents a comparison between the operation of 13.56 MHz Class $\Phi_{2}$ inverter using one or multiple gallium nitride (GaN) switching devices in parallel. In high-frequency, high-power applications such as plasma generation, GaN device is advantageous due to its low losses and on-resistance, evident simulations. However, frequency power increase, dissipation increases. Using parallelization for current splitting, we can reduce losses, which leads lower heating, thereby reducing...