In this chapter, time varying system analysis is presented using state space approach in hybrid function domain. Both homogeneous and non-homogeneous systems are treated along with numerical examples. States and outputs of the systems are solved. Illustration has been provided with the support of five examples, six figures and nine tables. © Springer International Publishing Switzerland 2016.

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S ROYCHOUDHURY

G SARKAR

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Time Varying System Analysis: State Space Approach

Studies in Systems, Decision and Control

This paper uses a set of hybrid functions (HF) formed by a combination of sample-and-hold function (SHF) set and triangular function (TF) set. The SHF set has been applied for analysing sample-and-hold control systems and the TF set has been proved to be efficient for obtaining piecewise linear solutions of control systems. In the present work, the HF set has been employed for the analysis and synthesis of homogeneous as well as non-homogeneous time-varying control systems in state space. The HF set works with function samples, and is thus useful for building an easier algorithm for time-varying system analysis. After developing necessary theories, a few examples are treated to illustrate the efficiency as well as simplicity of the approach. The results thus obtained are compared with the results obtained via traditional analysis, and relevant tables and graphs are included to justify the case for hybrid functions. © 2014, Springer-Verlag Berlin Heidelberg.

International Journal of Dynamics and Control

Analysis and synthesis of time-varying systems via orthogonal hybrid functions (HF) in state space environment

Lecture Notes in Control and Information Sciences

Block Pulse Functions and Their Applications in Control Systems

Piecewise Constant Orthogonal Functions and Their Application to Systems and Control

Science Education

Science Committee of the New Jersey Library Association, Meet the sciences. Newark, New Jersey (34 Commerce Street): New Jersey Library Association Committee, 1951. 6 p. $0.10

Time varying system analysis: State space approach

Journal	Data powered by TypesetStudies in Systems, Decision and Control
Publisher	Data powered by TypesetSpringer International Publishing
ISSN	2198-4182