CONTENTS v
2.6 ModelReduction................................ 64
2.6.1 Truncationand Residualization . . . . . . . . . . . . . . . . . . . . 65
2.6.2 BalancedTruncation.......................... 65
2.6.3 HankelNormApproximation ..................... 68
3 Functional Description of Xยต71
3.1 Introduction................................... 71
3.2 DataObjects.................................. 71
3.2.1 Dynamic Systems .......................... 72
3.2.2 pdms................................... 74
3.2.3 Subblo cks: selecting input &outputs . . . . . . . . . . . . . . . . . 77
3.2.4 BasicFunctions............................. 78
3.2.5 Continuous toDiscrete Transformations . . . . . . . . . . . . . . . 81
3.3 MatrixInformation,DisplayandPlotting.................. 81
3.3.1 Information Functionsfor 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