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CONTENTS v
2.6 ModelReduction................................ 64
2.6.1 Truncation and Residualization . . . . . . . . . . . . . . . . . . . . 65
2.6.2 BalancedTruncation.......................... 65
2.6.3 HankelNormApproximation ..................... 68
3 Functional Description of Xµ 71
3.1 Introduction................................... 71
3.2 DataObjects .................................. 71
3.2.1 Dynamic Systems .......................... 72
3.2.2 pdms................................... 74
3.2.3 Subblocks: selecting input & outputs . . . . . . . . . . . . . . . . . 77
3.2.4 BasicFunctions............................. 78
3.2.5 Continuous to Discrete Transformations . . . . . . . . . . . . . . . 81
3.3 MatrixInformation,DisplayandPlotting .................. 81
3.3.1 Information Functions for Data Objects . . . . . . . . . . . . . . . 81
3.3.2 FormattedDisplayFunctions ..................... 82
3.3.3 PlottingFunctions........................... 82
3.4 SystemResponseFunctions .......................... 85
3.4.1 CreatingTimeDomainSignals .................... 85
3.4.2 Dynamic System TimeResponses ................. 85
3.4.3 FrequencyResponses.......................... 88